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Sergeu [11.5K]
2 years ago
14

3/4 of a number increased by 1/2 is equal to 14. find the number

Mathematics
2 answers:
PIT_PIT [208]2 years ago
6 0

Answer:

21

Step-by-step explanation:

14*2=28

28(3/4)=21

21/(3/4)=28

28/2=14

lozanna [386]2 years ago
4 0

Answer:<em> </em><em>Second Option </em>

18

Step-by-step explanation:

\frac{3}{4} of a number is:

\frac{3}{4}x

\frac{3}{4} of a number is increased by \frac{1}{2} is equal to 14

This is:

\frac{3}{4}x+\frac{1}{2}=14

Now we solve the equation for the variable x

\frac{3}{4}x=14-\frac{1}{2} →  Subtract \frac{1}{2} on both sides of the equation

\frac{3}{4}x=\frac{27}{2}

x=\frac{27}{2}*\frac{4}{3} →   Multiply by \frac{4}{3} on both sides of the equation

x=9*2

x=18

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5-12 divided by (6-2)-1<br><br> (4-3) multiply by 2+15 divided by (6-1)<br><br> Show your work
nataly862011 [7]

5-12 ÷(6-2)-1

Do whats in the parenthesis

5-12 ÷4-1

Do division next

5- 3- 1 = 1.

Do the same for the next.

(4-3) x 2+15 ÷(6-1)

1 x 2+15 ÷5

2+15÷5

2+3= 5

3 0
3 years ago
The local newspaper has letters to the editor from 70 people. If this number represents 5% of all of the​ newspaper's readers, h
Alex Ar [27]

Answer:

This shows us that there are 1400 readers.

Step-by-step explanation:

To work this out you would first need to find how many times 5% goes into 100%, You can do this by dividing 100 by 5, this gives you 20. This is because the whole amount  is equivalent to 100%.

To work out the total number of readers you would multiply 70 by 20, this gives you 1400. This is because we know that 70 is equivalent to 5% and that 5% goes into 100% 20. So by multiplying 70 by 20 we are working out the total (100%), and that this shows us there are 1400 readers.

1) Divide 100 by 5.

100/5=20

2) Multiply 70 by 20.

70*20=1400

8 0
3 years ago
26. (02.08)
Mama L [17]

Answer:

X^2 -5x -36

Step-by-step explanation:

formula of an area of a rectangle: ab

a-length

b-width

(x+4)*(x-9) = x^2 -5x -36

7 0
2 years ago
Which triangles are similar by the angle-angle criterion for similarity of triangles ?
Alex Ar [27]

Answer:

Option D is correct.

\triangle ADE \sim \triangle ABC

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

\angle ADE = \angle ABE  [Angle]             [Given]

\angle DAE = \angle BAC  [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒\triangle ADE \sim \triangle ABC

5 0
3 years ago
What is the cost of each item? What is the subtotal? What is the tax? What is the total paid? Shoes: $49.99 (normally) they are
prisoha [69]

Answer:

Cost of shoes = $37.4925

Cost of jacket = $92.4533

Tax = $9.81

Total paid = $144.2458

Step-by-step explanation:

Normal price of shoes = $49.99

Discount = 25%

Discounted price:

\$49.99 - \$49.99\times \dfrac{25}{100} = \$37.4925

Normal price of jacket = $137.99

Discount = 33%

Discounted price:

\$137.99 - \$137.99\times \dfrac{33}{100} = \$92.4533

Price of pack of cookies = $4.49

No discount on cookies as per question statement.

Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358

Sales Tax = 7.3% of total amount without tax = 7.3% \times $134.4358 = $9.81

Total paid = $134.4358 + $9.81 = <em>$144.2458</em>

4 0
2 years ago
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